3 years ago

What is the solution to the inequality in interval notation? |4x+6|≤14

Mathematics

1 answer:

alexandr1967 [171]3 years ago

6 0

Answer: x>5

Step-by-step explanation: The Absolute Value term is |4x+6|

For the Negative case, we'll use -(4x+6)

For the Positive case, we'll use (4x+6)

-(4x+6) = 14

Multiply

-4x-6 = 14

Rearrange and Add up

-4x = 20

Divide both sides by 4

-x = 5

Multiply both sides by (-1)

x = -5

Which is the solution for the Negative Case

(4x+6) = 14

Rearrange and Add up

4x = 8

Divide both sides by 4

x = 2

x=-5

x=2

You might be interested in

AB is tangent to O. If AO=12 and BC=25 what is AB ? The diagram is not to scale.

Marat540 [252]

The answer is A

AO = 12

BC= 25+ 12= 37
you can get help from Pythagoras theorem
${37}^{2} = {12}^{2} + {x}^{2} \\ - {x}^{2} = {12}^{2} - {37}^{2} \\ - {x}^{2} = 144 - 1369 = - 1225 \\1225 = {x}^{2}$
$x = \sqrt{1225} = 35$

good luck

3 0

3 years ago

T(n) is the total number of lights in a triangular lighting rig of n rows, as shown. Which polynomial function represents T(n +

PilotLPTM [1.2K]

The answer is <span>a. T(n+1)=1/2n^2+3/2n+1
</span>
T(n) = 1/2n² + 1/2n = 1/2(n² + n)
T(n + 1) = 1/2((n+1)² + (n+1))

(a + b)² = a² + 2ab + b²
(n + 1)² = n² + 2n + 1

T(n + 1) = 1/2(n² + 2n + 1 + n + 1) =
= 1/2(n² + 3n + 2) =
= 1/2n² + 3/2n + 1

8 0

3 years ago

the formula to find the volume of a sphere is v=4/3 π3^ , where r is the radius of the sphere. what is the formula in terms or r

poizon [28]

V = 4/3πr^3

3V = 4πr^3

$\sqrt[3]{3/4piV}$ = r

4 0

4 years ago

Read 2 more answers

The junior high basketball team played 3 games in a week and averaged 49 points per game that week. In the first game they score

GREYUIT [131]

49 * 3 = 147

147 - 55 - 28 = 64

They scored 64 points the third game

To check the answer do 55 + 64 + 28, which equals 147, and divide that by 3, which equals 49.

4 0

3 years ago

H(x)=17+ x/6<br> find x.<br> i will give brainliest 100 points

pickupchik [31]

Answer:

x = -11

Step-by-step explanation:

h(x) = 17 + x/6

times 6

6 = x + 17

subtract 17

-11 = x

8 0

4 years ago

Read 2 more answers